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Finding the Fourth Proportional to 7,794.74, 10,756.86 and 4,258.28

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Solution

The fourth proportional to 7,794.74, 10,756.86 and 4,258.28 is: 5,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.74 : 10,756.86 = 4,258.28 : x
  2. Step 2: Convert to fraction form
    7,794.74/10,756.86 = 4,258.28/x
  3. Step 3: Cross multiply
    7,794.74x = 10,756.86 × 4,258.28
  4. Step 4: Simplify right side
    7,794.74x = 45,805,721.80
  5. Step 5: Solve for x
    x = 45,805,721.80/7,794.74
  6. Step 6: Final answer
    x = 5,876.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.